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Calculation of current flow through LED

I would like to determine the current that is flowing through an LED, which I drive and modulate with a 50 % duty cycle square wave modulation at a modulation frequency of 1 kHz using a function generator (I use this one: RIGOL DG1022, output impedance: 50 ohm; Vpp = 10 V, DC offset: +5V). To do that, I measure the voltage drop across a 1 ohm series resistor using the NI-USB 5131 oscilloscope. Now I am a little confused about the measured voltages: voltage RMS = 92 mV, voltage amplitude: 184 mV, voltage peak to peak: 208 mV. Now I don't understand how these voltages are actually related to one another and which one I should use for my current calculation using U = Z * I? Thank you for your help. I really want to make sure that the current flow is not exceeding the maximum allowed current but still as high as possible such that the emission power is maximized. Votlage drop across 1 Ohm series resistor

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